Question

let c be the function whose graph is given to the right. this graph represents the cost c of using m anytime cell phone minutes in a month for a five - person family plan.
(a) determine c(0). interpret this value.
c(0)=80
now interpret the value of c(0). choose the correct interpretation below.
a. the value of c(0) represents the number of minutes included in the base plan.
b. the value of c(0) represents the cost per cell phone minute.
c. the value of c(0) represents the number of minutes that can be used for no charge.
d. the value of c(0) represents the monthly fee. it is the cost per month if no minutes are used.

Explanation:

Step1: Analyze the function input

The function \( C(m) \) represents the cost of using \( m \) anytime cell phone minutes in a month. When \( m = 0 \), it means no minutes are used.

Step2: Interpret the function value

Since \( C(0) = 80 \), and \( m = 0 \) (no minutes used), the value \( 80 \) must be the cost that is incurred even when no minutes are used. This is typically the monthly fee.

Answer:

D. The value of \( C(0) \) represents the monthly fee. It is the cost per month if no minutes are used.